I ended up telling my new boss this when he asked me what I do for fun at one point this week (at the advice of my mom who is also in AA) ...
"I'm part of a church group. We go out to restaurants, hang out, and stuff. It's pretty fun." It didn't come out quite the way I wanted to and it felt awkward. I should've kept it more simple and just stuck to the "hanging out with friends and getting coffee" explanation or something. Now I need to figure out how to keep talking about this "church group" over time when I'm asked about it.